WASHINGTON — For the first time in days, President Barack Obama and House Speaker John Boehner spoke by phone Wednesday about the “fiscal cliff” that threatens to knock the economy into recession, raising the prospect of fresh negotiations to prevent tax increases and spending cuts set to kick in with the new year.

Officials provided no details of the conversation, which came on the same day the president, hewing to a hard line, publicly warned congressional Republicans not to inject the threat of a government default into the already complex issue.

“It’s not a game I will play,” Obama said to a group of business leaders as Republicans struggled to find their footing in talks with a recently re-elected president and unified congressional Democrats.

Among the Republicans, Sen. Tom Coburn of Oklahoma became the latest to break ranks and say he could support Obama’s demand for an increase in tax rates at upper incomes as part of a comprehensive plan to cut federal deficits.

Across the Capitol, House Majority Leader Eric Cantor said Republicans want to “sit down with the president. We want to talk specifics.” He noted that the GOP had made a compromise offer earlier in the week and the White House had rejected it.

Officials said after the talk between Obama and Boehner, R-Ohio, there was no immediate plan for a resumption of negotiations to avert the cliff. At the same time, they said that for the first time in a few days, at least one top presidential aide had been in touch with Republicans by e-mail on the subject.

Each side has been declaring that the crisis can be averted if the other will give ground.

Treasury Secretary Tim Geithner underscored the president’s determination when he told CNBC the administration was “absolutely” prepared to have the economy go over the so-called cliff if its terms aren’t met. “The size of the problem is so large that it can’t be solved without rates going up,” he said.

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